What is the end behavior of $f (x) = x^{4} - 5 x^{3} + x - 1$ $f(x)=x^4-5x^3+x-1$ ?

Question

1792 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-07T01:39:02

As $x \to \pm \infty, f (x) \to \infty$ $x->+-oo, f(x)->oo$

This is because the highest degree of $f (x)$ $f(x)$ is even, and the coefficient of the highest degree term is positive.

What is the end behavior of f(x)=x^4-5x^3+x-1f(x)=x4−5x3+x−1f(x)=x^4-5x^3+x-1?